Search for books on your reading list through Discovery
Through Springer we have access to a number of monograph series for mathematics, including those listed below. You can browse the series through these links or search discovery for specific topics.
Lecture Notes in Mathematics
The University has a subscription to Box of Broadcasts (BoB), an off-air TV and radio recording service for UK HE institutions, which allows you search and record any broadcast programme from 60+ TV and radio channels. This includes the 4 part BBC series "The Story of Maths" (to the left) , the radio programmes "A Brief History of Mathematics" and many other interesting radio and TV programmes.
Box Of Broadcasts (BoB) is a collection of over 2 million programmes broadcast on UK terrestrial television and radio. This includes BBC, ITV, Channel 4, Channel 5, and some Freeview channels, but not Sky or Virgin Media. BoB is only available within the United Kingdom.
There is a complete archive of programmes from BBC1 London, BBC2, BBC, ITV London, Channel 4, More4, Channel 5, BBC Radio 4, BBC Radio 4 Extra , alongside an extensive selection of programmes from other channels.
The content is licensed under the university's Educational Recording Agency licence - you do not need your own UK Television Licence to watch BoB.
Use the 'Log in' button, select Heriot-Watt University then enter your HWU ID to access.
Alternatively you can listen to or download the podcats from the BBC website:
The History of Mathematics: A Very Short Introduction
by
Concise History of Mathematics
by
INTRODUCTION
I. THE BEGINNINGS
II. THE ANCIENT ORIENT
III. GREECE
IV. THE ORIENT AFTER THE DECLINE OF GREEK SOCIETY
V. THE BEGINNINGS IN WESTERN EUROPE
VI. THE SEVENTEENTH CENTURY
VII. THE EIGHTEENTH CENTURY
VIII. THE NINETEENTH CENTURY
IX. THE FIRST HALF OF THE TWENTIETH CENTURY
Excursions in the History of Mathematics
by
A. Number Theory
1. Highlights in the History of Number Theory: 1700 BC - 2008
2. Fermat: The Founder of Modern Number Theory
3. Fermat's Last Theorem: From Fermat to Wiles.- B. Calculus/Analysis.
4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher
5. A Brief History of the Function Concept
6. More on the History of Functions, Including Remarks on Teaching
7. Highlights in the Practice of Proof: 1600 BC - 2009
8. Paradoxes: What are they Good for?
9. Principle of Continuity: 16th - 19th centuries
10. Proof: A Many-Splendored Thing.- D. Courses Inspired by History
11. Numbers as a Source of Mathematical Ideas
12. History of Complex Numbers, with a Moral for Teachers
13. A History-of-Mathematics Course for Teachers, Based on Great Quotations
14. Famous Problems in Mathematics.- E. Brief Biographies of Selected Mathematicians.
15. The Biographies.- Index.
A History of Mathematics
by
Table of Contents
I. MATHEMATICS BEFORE THE SIXTH CENTURY.
Ancient Mathematics.
The Beginnings of Mathematics in Greece.
Archimedes and Apollonius.
Mathematical Methods in Hellenistic Times.
The Final Chapters of Greek Mathematics.
II. MEDIEVAL MATHEMATICS: 500-1400.
Medieval China and India.
The Mathematics of Islam.
Mathematics in Medieval Europe.
Mathematics Around the World.
III. EARLY MODERN MATHEMATICS: 1400-1700.
Algebra in the Renaissance.
Mathematical Methods in the Renaissance.
Geometry, Algebra, and Probability in the Seventeenth Century.
The Beginnings of Calculus.
IV. MODERN MATHEMATICS: 1700-2000.
Analysis in the Eighteenth Century.
Probability, Algebra, and Geometry in the Eighteenth Century.
Algebra in the Nineteenth Century.
Analysis in the Nineteenth Century.
Geometry in the Nineteenth Century.
Aspects of the Twentieth Century.
Answers to Selected Problems.
General References in the History of Mathematics.
Index and Pronunciation Guide.
A History of Mathematics
by
Origins.
Egypt.
Mesopotamia.
Ionia and the Pythagoreans.
The Heroic Age.
The Age of Plato and Aristotle.
Euclid of Alexandria.
Archimedes of Syracuse.
Apollonius of Perga.
Greek Trigonometry and Mensuration.
Revival and Decline of Greek Mathematics.
China and India.
The Arabic Hegemony.
Europe in the Middle Ages.
The Renaissance.
Prelude to Modern Mathematics.
The Time of Fermat and Descartes.
A Transitional Period.
Newton and Leibniz.
The Bernoulli Era.
The Age of Euler.
Mathematicians of the French Revolution.
The Time of Gauss and Cauchy.
Geometry.
Analysis.
Algebra.
Poincare and Hilbert.
Aspects of the Twentieth Century.
References.
General Bibliography.
Appendix.
Index.
A History of Mathematics
by
Introduction
1: Babylonian mathematics
2: Greeks and 'Origins'
3: Greeks, practical and theoretical
4: Chinese mathematics
5: Islam, neglect and discovery
6: Understanding the 'Scientific Revolution'
7: The Calculus
8: Geometries and Space
9: Modernity and its Anxieties
10: A Chaotic End?
Bibliography
Index
An Introduction to the History of Mathematics
by
Mathematics: A Concise History and Philosophy
by
1 Mathematics for Civil Servants
2 The Earliest Number Theory
3 The Dawn of Deductive Mathematics
4 The Pythagoreans
5 The Pythagoreans and Perfection
6 The Pythagoreans and Polyhedra
7 The Pythagoreans and Irrationality
8 The Need for the Infinite
9 Mathematics in Athens Before Plato
10 Plato
11 Aristotle
12 In the Time of Eudoxus
13 Ruler and Compass Constructions
14 The Oldest Surviving Math Book
15 Euclid’s Geometry Continued
16 Alexandria and Archimedes
17 The End of Greek Mathematics
18 Early Medieval Number Theory
19 Algebra in the Early Middle Ages
20 Geometry in the Early Middle Ages
21 Khayyam and the Cubic
22 The Later Middle Ages
23 Modern Mathematical Notation
24 The Secret of the Cubic
25 The Secret Revealed
26 A New Calculating Device
27 Mathematics and Astronomy
28 The Seventeenth Century
29 Pascal
30 The Seventeenth Century II
31 Leibniz
32 The Eighteenth Century
33 Lagrange
34 Nineteenth-Century Algebra
35 Nineteenth-Century Analysis
36 Nineteenth-Century Geometry
37 Nineteenth-Century Number Theory
38 Cantor
39 Foundations
40 Twentieth-Century Number Theory
Mathematics and Its History
by
The Theorem of Pythagoras
Greek Geometry
Greek Number Theory
Infinity in Greek Mathematics
Number Theory in Asia
Polynomial Equations
Analytic Geometry
Projective Geometry
Calculus
Infinite Series
The Number Theory Revival
Elliptic Functions
Mechanics
Complex Numbers in Algebra
Complex Numbers and Curves
Complex Numbers and Functions
Differential Geometry
Non-Euclidean Geometry
Group Theory
Hypercomplex Numbers
Algebraic Number Theory
Topology
Simple Groups
Sets, Logic, and Computation
Combinatorics
Mathematics and the Historian's Craft
by
Introduction: The Birth and Growth of a Community
History or Heritage? An Important Distinction in Mathematics and for Mathematics Education
Ptolemy’s Mathematical Models and their Meaning
Mathematics, Instruments and Navigation, 1600-1800
Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions
The Mathematics and Science of Leonhard Euler (1707-1783)
Mathematics in Canada before 1945: A Preliminary Survey
The Emergence of the American Mathematical Research Community
19th Century Logic Between Philosophy and Mathematics
The Battle for Cantorian Set Theory
Hilbert and his Twenty-Four Problems
Turing and the Origins of AI,
Mathematics and Gender: Some Cross-Cultural Observations
Sherlock Holmes in Babylon and Other Tales of Mathematical History
by
Part I. Ancient Mathematics
Sherlock Holmes in Babylon
Words and pictures: new light on Plimpton 322
Mathematics 600 BC–600 AD
Diophantus of Alexandria; Hypatia of Alexandria
Hypatia and her mathematics
The evolution of mathematics in ancient China, Liu Hui and the first golden age of Chinese mathematics
Number systems of the North American Indians
The number systems of the Mayas
Before the conquest
Part II. Medieval and renaissance mathematics
The discovery of the series formula for π
Ideas of calculus in Islam and India
Was calculus invented in India?
An early iterative method for the determination of sin 1º
Leonardo of Pisa and his liber quadratorum
The algorists vs. the abacists: an ancient controversy on the use of calculators
Sidelights on the Cardan-Tartaglia controversy
Reading Bombelli's x-purgated algebra
The first work on mathematics printed in the New World
Part III. The Seventeenth Century
An application of geography to mathematics: history of the integral of the secant
Some historical notes on the cycloid
Descartes and problem-solving
Rene Descartes' curve-drawing devices: experiments in the relations between mechanical motion and symbolic language
Certain mathematical achievements of James Gregory
The changing concept of change: the derivative from Fermat to Weierstrauss
The crooked made straight: Roberval and Newton on tangents
On the discovery of the logarithmic series and its development in England up to Cotes
Isaac Newton: man, myth, and mathematics
Reading the master: Newton and the birth of celestial mechanics
Newton as an originator of polar coordinates
Newton's method for resolving affected equations
A contribution of Leibniz to the history of complex numbers
Functions of a curve: Leibniz's original notion of functions and its meaning for the parabola;
Part IV. The Eighteenth Century
Brook Taylor and the mathematical theory of Linear Perspective
Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions
Discussion of fluxions: from Berkeley to Woodhouse
The Bernoulli and the harmonic series
Leonhard Euler 1707–1783
The number
Euler's vision of a general partial differential calculus for a generalized kind of function
Euler and the fundamental theorem of algebra
Euler and the differentials
Euler and quadratic reciprocity
A Short Account of the History of Mathematics
by
